252057672 has 48 divisors (see below), whose sum is σ = 683963280. Its totient is φ = 83858400.

The previous prime is 252057671. The next prime is 252057679. The reversal of 252057672 is 276750252.

252057672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252057671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38047 + ... + 44177.

It is an arithmetic number, because the mean of its divisors is an integer number (14249235).

Almost surely, 2^252057672 is an apocalyptic number.

It is an amenable number.

252057672 is an abundant number, since it is smaller than the sum of its proper divisors (431905608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252057672 is a wasteful number, since it uses less digits than its factorization.

252057672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 252057672 is about 15876.3242597271. The cubic root of 252057672 is about 631.6841408907.

The spelling of 252057672 in words is "two hundred fifty-two million, fifty-seven thousand, six hundred seventy-two".